47 citations · 176 across the 17 of their papers we have counts for
19 papers
1-D Schrödinger operator on a star graph with nondefinite weight function
Edison Leguizamón, Carsten Trunk, Mitsuru Wilson +1
On a star graph with edges of unit length, we study the operator on and on $n…
Scattering theory for difference equations with operator coefficients
David Sher, Luis Silva, Boris Vertman +1
We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in…
On the existence of eigenvalues of a one-dimensional Dirac operator
Daniel Sánchez-Mendoza, Monika Winklmeier
The aim of this paper is to study the existence of eigenvalues in the gap of the essential spectrum of the one-dimensional Dirac operator in the presence of a bounded potential. We…
Limit point and limit circle trichotomy for Sturm-Liouville problems with complex potentials
Florian Leben, Edison Leguizamón, Carsten Trunk +1
The limit point and limit circle classification of real Sturm-Liouville problems by H. Weyl more than 100 years ago was extended by A.R. Sims around 60 years ago to the case when t…
Spectral inclusions of perturbed normal operators and applications
Javier Moreno, Monika Winklmeier
We consider a normal operator on a Hilbert space . Under various assumptions on the spectrum of , we give bounds for the spectrum of where is -bounded with r…
Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem
Abdon E. Choque-Rivero, Monika Winklmeier
We consider the explicit relation between two resolvent matrices related to the truncated Hausdorff matrix moment problem (THMM) in the case of an even and odd number of moments. T…